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Lynna [10]
3 years ago
7

HELPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!! LCD of 9/14 and 2/21

Mathematics
1 answer:
lions [1.4K]3 years ago
7 0
Least Common Denominator <span>(9/14 and 2/21)

</span><span>The least common denominator is equal to the least common multiple of the denominators: 14 and 21 
</span>The multiples of 14 are: 14, 28, 42, 56, ...
The multiples of 21 are: 21, 42, 63, ...

The least common multiple of 14 and 21, therefore, is 42, and the least common denominator of (9/14 and 2/21) is also 42<span>

Answer:
</span>\boxed{42}\end{array}}\qquad\quad\checkmark
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Answer:

1).(x+\frac{1}{4})^{2}=\frac{4}{9}

2).x+\frac{1}{4}=\pm \frac{2}{3}

Step-by-step explanation:

Here the given equation is x^{2}+\frac{1}{2}x+\frac{1}{16}=\frac{4}{9}

We have to factor the perfect square trinomial on the left side of the equation

So left side of the equation is x^{2}+\frac{1}{2}x+\frac{1}{16}

= x^{2}+2\times \frac{1}{4}x+(\frac{1}{4})^{2}

=(x+\frac{1}{4})^{2}    since [(a+b)²= a²+b²+2ab]

Therefore the factorial form of the equation will be

(x+\frac{1}{4})^{2}=\frac{4}{9}

Now we have to solve the equation by applying square root property

\sqrt{(x+\frac{1}{4})^{2}}=\sqrt{\frac{4}{9}}

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